Hello,
Let's assume a the hypotenuse
b/a=sin 30°==>b=a/2
c/a=cos 30°==>c=√3 / 2 *a
(√3/2 a, a/2,a) are the sides of the triangle.
Answer:
true
Step-by-step explanation:
because the ratios are both 60 miles in 1 hour
Answer:
The answer is 1296
Step-by-step explanation:
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
